Hypotenuse word problem

The two legs of a right triangle are the same length. The hypotenuse is 4 meters long.

Find the length of the legs. Express your answer in simplified radical form, or as a decimal rounded to four places.

Solution

Let x be the length of one leg and let x be the length of the other leg.

x2 + x2 = 42

2x2 = 16

Divide both sides by 2

x2 = 8

x = √(8)

x = √(4 × 2)

x = √(4) × √(2)

x = 2 × √(2)

or

x = 2 × 1.414213

x = 2.828426

x = 2.8284

Click here to post comments

Join in and write your own page! It's easy to do. How? Simply click here to return to Basic math word problem.

Recent Articles

  1. Graphs of Quantitative Data

    May 18, 21 06:54 AM

    Graphs of quantitative data, also called grouped data, can be displayed using a histogram or a polygon. Learn how to make histograms using raw data

    Read More